Search a number
-
+
14091542556 = 2237131743127139
BaseRepresentation
bin11010001111110101…
…11110000000011100
31100101001201112100120
431013322332000130
5212324413330211
610250142354540
71006126064310
oct150772760034
940331645316
1014091542556
115a81343543
12289328ba50
131437580c80
14979705b40
155771b6d06
hex347ebe01c

14091542556 has 384 divisors, whose sum is σ = 44508119040. Its totient is φ = 3365203968.

The previous prime is 14091542551. The next prime is 14091542557. The reversal of 14091542556 is 65524519041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14091542551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101377935 + ... + 101378073.

It is an arithmetic number, because the mean of its divisors is an integer number (115906560).

Almost surely, 214091542556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14091542556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254059520).

14091542556 is an abundant number, since it is smaller than the sum of its proper divisors (30416576484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14091542556 is a wasteful number, since it uses less digits than its factorization.

14091542556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 14091542556 in words is "fourteen billion, ninety-one million, five hundred forty-two thousand, five hundred fifty-six".